In the paper an early history of the Bézout theorem on algebraic curves and effective methods in elimination theory is presented. The hypothesis, stated in 1665 by Newton, on the ”intersection number” of algebraic curves ...

In the paper a set of strategy games is presented. It is shown how the “manipulative” developing of the winning strategy of a known and simple game can lead to conceptual reasoning based on reduction; then it is ...

In this article we consider the ordered algebraic structures of the systems of natural numbers, integers, rational and real numbers. We present the ordered algebra of natural numbers, the ordered ring of integers, and ...

The aim of this paper is to derive new explicit formulas for the function π, where π(x) denotes the number of primes not exceeding x. Some justifications and generalisations of the formulas obtained byWillans (1964), Minac ...

In this paper some known conditions and new congruences characterising prime numbers are given. Some of them are obtained by the generalised Wilson theorem given by Gauss. The elementary proof of this theorem is also presented.

The article presents remarks regarding analysis of drawings and the use of the data contained therein in resolving mathematical tasks. A particular type of drawing is considered, which is a graph of a function. The ...

We prove some stability and hyperstability results for a generalization of the well known Fréchet functional equation, stemming from one of the characterizations of the inner product spaces. As the main tool we use a ...

We consider the stability, the superstability and the inverse stability of the functional equations with squares of Cauchy’s, of Jensen’s and of isometry equations and the stability in Ulam-Hyers sense of the alternation of ...

The problem of gaming is an important part of the educational process on all levels of Mathematics teaching. In this work we present certain stochastic problems, based on the so-called Penney games. It provides ...

In this paper a remarkable simple proof of the Gauss’s generalization of the Wilson’s theorem is given. The proof is based on properties of a subgroup generated by element of order 2 of a finite abelian group. Some conditions ...